---
id: 5900f4801000cf542c50ff93
title: 'Problem 276: Primitive Triangles'
challengeType: 5
forumTopicId: 301926
dashedName: problem-276-primitive-triangles
---

# --description--

Consider the triangles with integer sides $a$, $b$ and $c$ with $a ≤ b ≤ c$.

An integer sided triangle $(a,b,c)$ is called primitive if $gcd(a,b,c) = 1$.

How many primitive integer sided triangles exist with a perimeter not exceeding $10\\,000\\,000$?

# --hints--

`primitiveTriangles()` should return `5777137137739633000`.

```js
assert.strictEqual(primitiveTriangles(), 5777137137739633000);
```

# --seed--

## --seed-contents--

```js
function primitiveTriangles() {

  return true;
}

primitiveTriangles();
```

# --solutions--

```js
// solution required
```